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Dynamics on Curved Surfaces
Benasque: August 12, 2005
Mark Bowick, Andreas Bausch, Peter Lipowsky, Jan Meinke and David Nelson
• Modeling dislocation glide by a Langevin equation with potential energy
21( )
2 DU y k y
22 1 Dk tB
D
k Ty e
k
leads to
Peierls Potential
A histogram of the glide coordinates gives us
tot B( ) / 2tot 0
1( ) with ( ) cos(2 /a)
2U y k T
DN y e U y k y U y